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butalik [34]
3 years ago
8

Ethan is playing in a soccer league that has 6 teams (including his team). Each team plays every other team twice during the reg

ular season. The top two teams play in a final championship game after the regular season. In this league, how many soccer games will be played in all? 7.
Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

There are going to be 31 matches played in the soccer league.

Step-by-step explanation:

The soccer league has 6 teams, so if every team plays against the others twice, there are going to be played 30 matches:

-Team 1: v Team 2 (2), v Team 3 (2), v Team 4 (2), v Team 5 (2), v Team 6 (2)

-Team 2: v Team 3 (2), v Team 4 (2), v Team 5 (2), v Team 6 (2)

-Team 3: v Team 4 (2), v Team 5 (2), v Team 6 (2)

-Team 4: v Team 5 (2), v Team 6 (2)

-Team 5: v Team 6 (2)

-Team 6: -

If there is a final championship game after the 30 regular season matches, there are going to be 31 matches played in the league.

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The answer is (2,3)

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When purchasing a house you need to pay the real estate company 4.5 of the total price if the house sells for 130,000 how much m
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$5,850

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3 years ago
If the sum of five consecutive odd integers is 95, what is the smallest of the five integers?
xxMikexx [17]

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15+ 17+ 19+ 21+23

Step-by-step explanation:

consecutive odd integers, like 1, 3, 5, 7

consecutive even integers, like 2, 4, 6, 8

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2 years ago
What is the solution of 3+x-2/x-3&lt;_4
VikaD [51]

Step-by-step explanation:

3+x-2/x-3<_4

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3 0
2 years ago
A baseball is hit into the​ air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas
tankabanditka [31]

Answer:

\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

h(0)=-16\cdot 0^2+128 \cdot 0+2=2

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as ax^2+bx+c, it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

   \dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{  seconds}}

And the maximum height of the baseball is h(4).

h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
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